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Boundary Layers for the Navier–Stokes Equations¶of Compressible Fluids
Authors:Hermano Frid  Vladimir Shelukhin
Institution:(1) Instituto de Matemática, Universidade Federal do Rio de Janeiro, Caixa Postal 68530, CEP 21945-970, RJ, Brazil. E-mail: hermano@lpim.ufrj.br; shelukhi@dmm.ufrj.br, BR;(2) Lavrentyev Institute of Hydrodynamics, Novosibirsk, 630090, Russia. E-mail: shelukhin@hydro.nsc.ru, RU
Abstract:The global unique solvability is proved for the Navier–Stokes equations of compressible fluids for the one-dimensional spiral flows between two circular cylinders. The zero shear viscosity limit μ→ 0 is justified. The value O(μα), 0 < α < 1/2, is established for the boundary layer thickness. Received: 11 December 1998 / Accepted: 9 June 1999
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